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Finding the Fourth Proportional to 183.67, 275.64 and 138.14

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Solution

The fourth proportional to 183.67, 275.64 and 138.14 is: 207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.67 : 275.64 = 138.14 : x
  2. Step 2: Convert to fraction form
    183.67/275.64 = 138.14/x
  3. Step 3: Cross multiply
    183.67x = 275.64 × 138.14
  4. Step 4: Simplify right side
    183.67x = 38,076.91
  5. Step 5: Solve for x
    x = 38,076.91/183.67
  6. Step 6: Final answer
    x = 207.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.